R.6 III Functions

• A geometric function

• An arithmetic function

• A quadratic function

• None of these

Answer explanation

When the input variable is an exponent and the base is a constant, you get a geometric (also called an exponential) function.

Find the slope between the points (5,-6) and (-1, 8). Simplify your final answer.

Answer explanation

Remember to subtract your y values for the numerator (top) of the fraction. Be careful about those negatives too!

Simplify 
3√6 - 4√6

• -√6
• √6
• -1
• Already simplified 

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3
• y>2x-1
  y≤-2x+3
• y<2x-1
  y≥-2x+3
• y≤2x-1
  y>2x+3

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

• n= 4(1/2)^h

• n= 4(2)^h

• n= 4+ (2)^h

• n= 4 + (1/2)^h

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

• h(t)= 99t² + 858

• h(t)= -4.9t² + 295t + 0.6

• h(t)= -4.9t² +295t + 2

• h(t)= 99t² + 1,470.3

The graph of part of linear function is g shown on the grid. Which inequality best represents the domain of the part shown?

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 < g(x) ≤ 3

• -6 ≤ g(x) < 3